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Finding the Fourth Proportional to 24,057.86, 36,089.65 and 10,027.40

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Solution

The fourth proportional to 24,057.86, 36,089.65 and 10,027.40 is: 15,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.86 : 36,089.65 = 10,027.40 : x
  2. Step 2: Convert to fraction form
    24,057.86/36,089.65 = 10,027.40/x
  3. Step 3: Cross multiply
    24,057.86x = 36,089.65 × 10,027.40
  4. Step 4: Simplify right side
    24,057.86x = 361,885,188.50
  5. Step 5: Solve for x
    x = 361,885,188.50/24,057.86
  6. Step 6: Final answer
    x = 15,042.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.